Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Perpendicular Lines

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #81 : Coordinate Geometry

What line is perpendicular to 2x + y = 3 at (1,1)?

Possible Answers:

2x + 3y = 1

3x + 2y = 1

x + 2y - 3

x – 2y = -1

Correct answer:

x – 2y = -1

Explanation:

Find the slope of the given line. The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b. Convert back to standard form of an equation: ax + by = c.

Report an Error

Example Question #1 : How To Find The Slope Of A Perpendicular Line

What is the slope of the line perpendicular to the line given by the equation

6x – 9y +14 = 0

Possible Answers:

-1/6

-3/2

-2/3

2/3

Correct answer:

-3/2

Explanation:

First rearrange the equation so that it is in slope-intercept form, resulting in y=2/3 x + 14/9. The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.

Report an Error

Example Question #1 : How To Find The Slope Of A Perpendicular Line

What is the slope of the line perpendicular to the line represented by the equation y = -2x+3?

Possible Answers:

-1/2

2/3

1/2

-2/3

Correct answer:

1/2

Explanation:

Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2.

Report an Error

Example Question #2 : How To Find The Slope Of A Perpendicular Line

Find the slope of a line perpendicular to the line y = –3x – 4.

Possible Answers:

1/4

–3

1/3

Correct answer:

1/3

Explanation:

First we must find the slope of the given line. The slope of y = –3x – 4 is –3. The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.

Report an Error

Example Question #1 : How To Find The Slope Of A Perpendicular Line

What is the slope of a line perpendicular to the following:

$y-3=\frac{1}{2}(x-4)$

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

The question puts the line in point-slope form y – y₁ = m(x – x₁), where m is the slope. Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.

Report an Error

Example Question #1 : How To Find The Slope Of A Perpendicular Line

A line is defined by the following equation:

2x-4y=6

What is the slope of a line that is perpendicular to the line above?

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

Explanation:

The equation of a line is y=mx+b where is the slope.

Rearrange the equation to match this:

2x-4y=6

-4y=-2x+6

4y=2x-6

$y=\frac{2}{4}x-\frac{6}{4}$

$y=\frac{1}{2}x-\frac{3}{2}$

$m=\frac{1}{2}$

For the perpendicular line, the slope is the negative reciprocal;

therefore $m=\frac{-2}{1}=-2$

Report an Error

Example Question #71 : Coordinate Geometry

Find the slope of the line perpendicular to the line that has the equation y=2x-1 .

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

$-\frac{1}{2}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around.

$\frac{2}{1}\rightarrow-\frac{1}{2}$

Report an Error

Example Question #72 : Coordinate Geometry

Find the slope of a line perpendicular to the line with the equation y=-9x-1 .

Possible Answers:

$\frac{1}{9}$

$-\frac{1}{9}$

Correct answer:

$\frac{1}{9}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$-9\rightarrow\frac{1}{9}$

Report an Error

Example Question #73 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=\frac{1}{5}x-2$ .

Possible Answers:

$-\frac{1}{5}$

$\frac{1}{5}$

Correct answer:

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$\frac{1}{5}\rightarrow-5$

Report an Error

Example Question #74 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=\frac{3}{2}x-1$ .

Possible Answers:

$-\frac{3}{2}$

$\frac{3}{2}$

$-\frac{2}{3}$

$\frac{2}{3}$

Correct answer:

$-\frac{2}{3}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$\frac{3}{2}\rightarrow-\frac{2}{3}$

Report an Error

View SSAT- Upper Level Tutors

Brooke
Certified Tutor

New York University, Bachelor in Arts, Drama and Dance Teacher Education. Georgia State University, Master of Arts, Communica...

View SSAT- Upper Level Tutors

Carneta
Certified Tutor

Langston University, Bachelor in Arts, Theater Arts.

View SSAT- Upper Level Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Philadelphia, Biology Tutors in Phoenix, MCAT Tutors in Philadelphia, ISEE Tutors in San Diego, Math Tutors in Seattle, Physics Tutors in San Diego, Math Tutors in New York City, ISEE Tutors in Los Angeles, SAT Tutors in Atlanta, GMAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

MCAT Courses & Classes in Atlanta, MCAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Houston, ACT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Seattle, ISEE Courses & Classes in Miami, ACT Courses & Classes in Los Angeles, MCAT Courses & Classes in Miami, Spanish Courses & Classes in New York City, GMAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

LSAT Test Prep in Miami, LSAT Test Prep in Phoenix, GRE Test Prep in Philadelphia, ACT Test Prep in San Francisco-Bay Area, SSAT Test Prep in New York City, SSAT Test Prep in Boston, MCAT Test Prep in Washington DC, LSAT Test Prep in Chicago, GRE Test Prep in Houston, ISEE Test Prep in Chicago

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

SSAT Upper Level Math : Perpendicular Lines

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #81 : Coordinate Geometry

Example Question #1 : How To Find The Slope Of A Perpendicular Line

Example Question #1 : How To Find The Slope Of A Perpendicular Line

Example Question #2 : How To Find The Slope Of A Perpendicular Line

Example Question #1 : How To Find The Slope Of A Perpendicular Line

Example Question #1 : How To Find The Slope Of A Perpendicular Line

Example Question #71 : Coordinate Geometry

Example Question #72 : Coordinate Geometry

Example Question #73 : Coordinate Geometry

Example Question #74 : Coordinate Geometry

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: